Question

question regarding representing a function as a power series (screenshot included)

Answer 1

what I came up with for an equation is this: \[\sum_{n=0}^{infinity}(-1)^n (16n) 3x ^{2n}\]

Answer 2

but then I get the wrong coefficients when I plug in n=1, n=2 etc. I get -48 for C1 but the webwork says that's wrong

Answer 3

aha! I just figured it out, the odd number C's are non existent :)

Answer 4

\[f(x)=3(1+16x^2)^{-1}\]
we are prettymuch expanding the binomial

Answer 5

nevermind thanks anyway :)